I've been making cosmetic bags for quite a few years now, using various materials. What I've found to be the easiest to work with are the Asian silk-rayon blends, imported from China. The inside of the bag is lined in vinyl and the zipper has a tassel pull. These are just a sampling of the Asian prints available.
Below is the small size Signature Line handbag made out of an Asian silk. These handbags are fully lined with a firm bottom, one or two zippered pockets with tassel pulls, and a magnetic snap closure. Straps are long enough to put the bag over your shoulder.